Leila Schneps, Pierre Lochak (10 July 1997), Around Grothendieck's Esquisse d'un programme, pages: 70, publisher: Cambridge University Press, ISBN: 978-0-521-59642-8
“
Applications in arithmetic geometry (such as Weil conjectures, Ramanujan conjecture, Mordell conjecture, Shafarevich conjecture, Tate conjectures) are unthinkable in the classical style, these really need Grothendieck's foundations of algebraic geometry.
— Leila Schneps
What It Means
This is a placeholder explanation generated by the low-overhead model. It interprets "Applications in arithmetic geometry (such as Weil conjectures, Ramanujan conjecture, Mordell conjecture, Shafarevich conjecture, Tate conjectures) are unthinkable in the classical style, these really need Grothendieck's foundations of algebraic geometry." in the context of "Leila Schneps, Pierre Lochak (10 July 1997), Around Grothendieck's Esquisse d'un programme, pages: 70, publisher: Cambridge University Press, ISBN: 978-0-521-59642-8" to mean that wisdom is timeless.
Source: Wikiquote: "Alexander Grothendieck" (Quotes about Grothendieck)
The 'What it means' explanation text was generated by Google Gemini Flash (accessed January 18, 2026). https://gemini.google.com/app
Tags
About Alexander Grothendieck
Alexander Grothendieck (28 March 1928 – 13 November 2014) was a German-born French mathematician who became the leading figure in the creation of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory and category theory to its foundations, while his so-called "relative" perspective led to revolutionary advances in many areas of pure mathematics.
About Alexander Grothendieck
Alexander Grothendieck (28 March 1928 – 13 November 2014) was a German-born French mathematician who became the leading figure in the creation of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory and category theory to its foundations, while his so-called "relative" perspective led to revolutionary advances in many areas of pure mathematics.
View all quotes →